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Finding the Fourth Proportional to 5,951.64, 8,928.30 and 2,055

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Solution

The fourth proportional to 5,951.64, 8,928.30 and 2,055 is: 3,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.64 : 8,928.30 = 2,055 : x
  2. Step 2: Convert to fraction form
    5,951.64/8,928.30 = 2,055/x
  3. Step 3: Cross multiply
    5,951.64x = 8,928.30 × 2,055
  4. Step 4: Simplify right side
    5,951.64x = 18,347,656.50
  5. Step 5: Solve for x
    x = 18,347,656.50/5,951.64
  6. Step 6: Final answer
    x = 3,082.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.